Not exactly. The required bandwidth for the evolutionary strategy is actually very small: if every node knows each other's random seed, they can reconstruct the best model themselves, using the seed of whichever node declares the best result. There is no need to transfer any weights. Of course, this trick only works if it's cheap to compute the weights other nodes are using, which is not the case for SGD. So evolutionary strategies have an advantage here, even if it's not a decisive one.
Well that would work for simple hillclimbing. In a full genetic algorithm, every member of the population is the product of thousands of previous individuals.
I mean, we were talking about simple hill climbing.
Still, even more complex systems still do not require particularly high bandwidth. You only need to broadcast the fitness of the individuals, and from there each node can independently recalculate and combine the best ones.
